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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionEasy
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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=0x-4), which statement is correct?

Answer and explanation

Correct answer: It is not one-one

Step 1: (0x-4=-4) is the same for every (x). Step 2: (f(1)=-4) and (f(2)=-4), while (1\neq2). Step 3: If the coefficient of (x) is zero, the function becomes constant.

Related tags

One-One-FunctionConstant-FunctionLinear-FormOne One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1Which statement is true for a one-one function?
  2. 2If (f(2)=5) and (f(3)=5), what can be said about (f)?
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  5. 5If (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x|), what type of function is (f)?
  6. 6If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is (f)?
  7. 7If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\log x), which statement about (f) is correct?
  8. 8If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), what follows from (f(a)=f(b))?
  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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